The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A168613 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A168613

a(n) = 3^n - 5.
(history; published version)

#23 by Harvey P. Dale at Mon Sep 12 17:01:14 EDT 2022

STATUS

editing

approved

#22 by Harvey P. Dale at Mon Sep 12 17:01:11 EDT 2022

MATHEMATICA

3^Range[0, 30]-5 (* Harvey P. Dale, Sep 12 2022 *)

STATUS

approved

editing

#21 by Charles R Greathouse IV at Thu Sep 08 08:45:49 EDT 2022

PROG

(MAGMAMagma) I:=[-4, -2]; [n le 2 select I[n] else 4*Self(n-1)-3*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Jul 06 2012

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#20 by Alois P. Heinz at Wed Jul 27 19:42:34 EDT 2016

STATUS

proposed

approved

#19 by G. C. Greubel at Wed Jul 27 19:03:25 EDT 2016

STATUS

editing

proposed

#18 by G. C. Greubel at Wed Jul 27 19:03:20 EDT 2016

NAME

a(n) = 3^n - 5.

LINKS

<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4,-3).

FORMULA

a(n) = 3*a(n-1) + 10 with a(0)=-4.

G.f.: 2*(7*x - 2)/((1-x)*(1-3*x)). - Vincenzo Librandi, Jul 06 2012

a(n) = 4*a(n-1) - 3*a(n-2). - Vincenzo Librandi, Jul 06 2012

a(n) = 2*A116970(n) + 2 with A116970(0)=-3, A116970(1)=-2. - Bruno Berselli, Jul 06 2012

E.g.f.: exp(3*x) - 5*exp(x). - G. C. Greubel, Jul 27 2016

MATHEMATICA

LinearRecurrence[{4, -3}, {-4, -2}, 25] (* G. C. Greubel, Jul 27 2016 *)

STATUS

approved

editing

#17 by Charles R Greathouse IV at Sat Jun 13 00:53:25 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (4,-3).

Discussion

Sat Jun 13

00:53

OEIS Server: https://oeis.org/edit/global/2439

#16 by Charles R Greathouse IV at Fri Jun 12 15:33:09 EDT 2015

LINKS

<a href="/index/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (4,-3).

Discussion

Fri Jun 12

15:33

OEIS Server: https://oeis.org/edit/global/2437

#15 by Charles R Greathouse IV at Fri Jun 12 15:19:22 EDT 2015

LINKS

<a href="/Sindx_Rea.htmlindex/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (4,-3).

Discussion

Fri Jun 12

15:19

OEIS Server: https://oeis.org/edit/global/2434

#14 by N. J. A. Sloane at Sun Oct 20 21:59:43 EDT 2013

STATUS

proposed

approved